On a functional equation connected to sum form nonadditive information measures on an open domain. I.

Palaniappan Kannappan; Prasanna K. Sahoo

Kybernetika (1986)

  • Volume: 22, Issue: 3, page 268-275
  • ISSN: 0023-5954

How to cite

top

Kannappan, Palaniappan, and Sahoo, Prasanna K.. "On a functional equation connected to sum form nonadditive information measures on an open domain. I.." Kybernetika 22.3 (1986): 268-275. <http://eudml.org/doc/28628>.

@article{Kannappan1986,
author = {Kannappan, Palaniappan, Sahoo, Prasanna K.},
journal = {Kybernetika},
keywords = {additive sum form entropies; nonadditive sum form entropies; measurable functions; functional equations; open domains; measurable solutions},
language = {eng},
number = {3},
pages = {268-275},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On a functional equation connected to sum form nonadditive information measures on an open domain. I.},
url = {http://eudml.org/doc/28628},
volume = {22},
year = {1986},
}

TY - JOUR
AU - Kannappan, Palaniappan
AU - Sahoo, Prasanna K.
TI - On a functional equation connected to sum form nonadditive information measures on an open domain. I.
JO - Kybernetika
PY - 1986
PB - Institute of Information Theory and Automation AS CR
VL - 22
IS - 3
SP - 268
EP - 275
LA - eng
KW - additive sum form entropies; nonadditive sum form entropies; measurable functions; functional equations; open domains; measurable solutions
UR - http://eudml.org/doc/28628
ER -

References

top
  1. J. Aczél, Information functions on open domain III, C. R. Math. Rep. Acad. Sci. Canada 2 (1980), 281-285. (1980) MR0600562
  2. M. Behara, P. Nath, Additive and nonadditive entropy of finite measurable partitions, Probability and Information Theory, Vol. 2, Springer-Verlag 1973, Vol. 296, 102-138. (1973) MR0379019
  3. J. Havrda, F. Charvát, Quantification method of classification process, Concept of structural a-entropy, Kybernetika 3 (1967), 30-35. (1967) MR0209067
  4. Pl. Kannappan, On generalization of some measures in Information Theory, Glasnik Mat. 29 (1974), 81-93. (1974) MR0363671
  5. Pl. Kannappan, On some functional equations from additive and nonadditive measure - I, Proc. Edinburgh Math. Soc. 23 (1980), 145-150. (1980) MR0597119
  6. Pl. Kannappan, P. K. Sahoo, On a functional equation in two variables connected to sum form information measures on an open domain, (to appear). Zbl0629.39006MR0852131
  7. L. Losonczi, A characterization of entropies of degree a, Metrika 28 (1981), 237-244. (1981) MR0642931
  8. L. Losonczi, Gy. Maksa, On some functional equations of the information theory, Acta. Math. Acad. Sci. Hungar. 39 (1982), 73-82. (1982) Zbl0492.39006MR0653676
  9. C. T. Ng, Information functions on open domains I, II, C. R. Math. Rep. Acad. Sci. Canada 2 (1980), 119-123 and 155-158. (1980) MR0576988
  10. P. K. Sahoo, On some functional equations connected to sum form information measures on open domains, Utilitas Math. 23 (1983), 161-175. (1983) Zbl0524.94008MR0703137

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.